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# Ch13 transformation

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### Ch13 transformation

1. 1. NEXT11/25/12 PPMP PMR - JOHOR 2009
2. 2. Techniques Understanding clockwise and anticlockwise rotation Rotation of a point Rotation of an object Determine the rotation point.11/25/12 PPMP PMR - JOHOR 2009
3. 3.  Langkah 1: Palang Pusat  Langkah 2: Kira x, Kira y  Langkah 3: Putar BACK BACK MENU MENU NEXT NEXT11/25/12 PPMP PMR - JOHOR 2009
4. 4. 11/25/12 PPMP PMR - JOHOR 2009
5. 5. Example 1:Find the coordinates of the image of point A under arotation through 90° clockwise about the point R. A CLOCKWISE ROTATION R Rotation? 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
6. 6. Example 2:Find the coordinates of the image of point B under arotation through 90° anticlockwise about the point R. B ANTICLOCKWISE ROTATION R Rotation? 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
7. 7. Example 3:Find the coordinates of the image of point C under arotation through 90° clockwise about the point R. CLOCKWISE ROTATION R C Rotation? 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
8. 8. Example 4:Find the coordinates of the image of point D under arotation through 90° anticlockwise about the point R. ANTICLOCKWISE ROTATION R D Rotation? 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
9. 9. Example 5:Find the coordinates of the image of point E under arotation through 90° clockwise about the point R. y Langkah 1 x=3 Palangkan Carikan nilai y=2 4 PUSAT y dan xPutar Langkah 2 Langkah 3 y=3 E E’ 2 y=2 x =x = 1 2 x=2 y=1 R The coordinates of the image -2 2 x of point G is ( 3, 2 ). 0 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
10. 10. Example 6: Find the coordinates of the image of point F under a rotation through 90° anticlockwise about the point R. x=4 y Langkah 1 Carikan nilai y=2 x dan y Palangkan Langkah 2 Putar PUSAT F 4 y=4 Langkah 3 F’ y=3 2 y=2 xx = 2 =1 y=1 RThe coordinates of the image -2 0 2 xof point G is ( -4, 2 ).11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
11. 11. Example 7:Find the coordinates of the image of point G under a rotationthrough 90° anticlockwise about the point R. G x=3 y=3 y=4 y=2 Langkah 1 xx= 43x = 2 = 1 = x y=1 R Palangkan Carikan nilai PUSAT y dan xPutar Langkah 2 Langkah 3 G’ The coordinates of the image of point G is (-2, -3). 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
12. 12. Example 8:Find the coordinates of the image of point H under a rotationthrough 90° clockwise about the point R. H y=5 H’ Langkah 1 y=4 Palangkan Carikan nilai y=3 PUSAT y dan xPutar Langkah 2 y=2 xx = 4 = 2 = 1 =3x x Langkah 3 y=1 R x=5 y=4 The coordinates of the image of point E is (4, 2). 11/25/12 PPMP PMR - JOHOR 2009 BACK BACK MENU MENU NEXT NEXT
13. 13. Example 9:Find the image of triangle ABC under a rotationthrough 90° clockwise about the origin. y x=3 1 xx==41 A B C y=4 1 y=1 y=3 3 L1 A 4 Carikan nilai Carikan nilai Palangkan Carikan nilai dan xPutary dan 4 A’ PUSAT y xPutar L2 L2 L2 B’ dan xPutary 3 3 3 L3 L3 L3 2 2 2 2 B Finish 1 3 2C 1 1 1C’ 2 3 4 1 -2 0 2 x 11/25/12 PPMP PMR - JOHOR 2009
14. 14. Example 10: Given that A’B’C’ is the image of ABC under a rotation. Find the center of rotation R.The rotation of theCross at the half of Measue the xrotation Estimate the and point is half of x y x=2 CHOOSE A POINTpoint bythe and y- the x-distance object y from demining x=2and half of y from x=1 2 x=1direction image point todistance the of the the cross. y=2 y=2 y=1 y=1 2 A A B B C C 22units units 44 units units Pusat R A C Step Step Pusat putaran 44units units Step 1 B1 C1 putaran 22units units 2 Step Step B Step 2 B2 C2 44units A’ 2 unitsunits 2 units Step Step Step 3 Pusat Pusat B3 C3 B’ Pusat -2 0 sementarax 2 sementara sementara Step Step C’ Step 4 B4 C4 11/25/12 PPMP PMR - JOHOR 2009 BACK MENU NEXT
15. 15.  Try Again All the Exercises Available in your module.11/25/12 PPMP PMR - JOHOR 2009